5365906560 has 896 divisors, whose sum is σ = 23117736960. Its totient is φ = 1164533760.

The previous prime is 5365906549. The next prime is 5365906583. The reversal of 5365906560 is 656095635.

5365906560 is a `hidden beast` number, since 5 + 3 + 6 + 590 + 6 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101243494 + ... + 101243546.

Almost surely, 2^5365906560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5365906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558868480).

5365906560 is an abundant number, since it is smaller than the sum of its proper divisors (17751830400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5365906560 is an equidigital number, since it uses as much as digits as its factorization.

5365906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 5365906560 is about 73252.3484947752. The cubic root of 5365906560 is about 1750.7106294880.

It can be divided in two parts, 5365 and 906560, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 5365906560 in words is "five billion, three hundred sixty-five million, nine hundred six thousand, five hundred sixty".